79. f(x) = 4x + 3

Q: Calculate how many liters (and gallons) of water arelost in 1 month by a toilet or faucet that leaks…

A: The faucet leaks 2 drops of water per second. one liter of water=3500 drops. 1 liters=0.265 gallons.

Q: has

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Q: Solve the following problems: a) Find the maximum error in the calculation of the area of a…

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Q: show that the lim DNE. In (x4 + 2y² + y² lim (x,y) → (0,1) 2x² e - - 1) 2

A: To evaluate: lim(x,y)→(0,1)ln (x4+2y2-1)e2x2+y2-1

Q: Find and if dy dx² dy dx = 5 sec 0 and y = 5 tane

A: Given: x=5secθy=5tanθ

Q: Find the differential dy of the given function. (Use "dx" for dx.) 6 √x dy = y = 9√√x +

A: Formula we use d(xn)=nxn-1dx. d(f+g)=d(f)+d(g).

Q: x²y' = 4x² + 7xy + 2y²

A: We use homogeneous method to solve the given differential equation.

Q: Which of the following is the particular solution of the differential equation y' = 5/(x^2 +1) when…

A: Topic - differential equations we are given y'=5x2+1y(0)=0and we know that∫1x2+1dx=Arctan x+C

Q: A ball is launched upwards from a height of 4 feet. The ball's height as a function of time, in…

A: Given height time relation h(t)=-16t2+80t+4 We have to find time interval when…

Q: 1. Using differentials, solve for the approximate change in the hypotenuse of a right triangle if…

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Q: Consider the region R bounded by the line y = 34-6x and the parabola y = 26x². To find the volume of…

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Q: Let g(x) = 7 -5x - 4x². Then the expression g(x + h) - g(x) h can be written in the form Ah + Bx +…

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Q: Given that 3x-6≤ f(x) ≤-3x+3 for x 20, Find lim f(x)

A: This question can be solved by applying  the concept of inequalities involving limits.

Q: 29. When the graph of y=-x² +4 is reflected in the y-axis, the new equation will be B. y=-x² +4 A. y…

A: to find out the equation of the graph reflected by y axis

Q: IMB 1) -B To determine whether a given series converges, it is important to first consider its form.…

A: Given the equation:- ∑k=1∞1ke

Q: Find B and for the space curve below. r(t) = (8 sin 3t)i + (8 cos 3t)j + 7tk 7 25 T = N = K = 24 cos…

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Q: Which of the following functions satisfy x²dy+ y(x + y)dx=0 with y(1) = 1 ? 3x²y = 2x + y 3x²y =…

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Q: -5 -4 -3 -2 -1 0-3 0-2 0-1 Do 01 5+ 4 3- 00 3 04 1 -1 -2+ -4+ -5+ Select all the x-values at which…

A: A function is not differentiable at x = k if  the function satisfies  any of the following…

Q: 2) Suppose that f(x) = cos x. Find f'(). Choose the best answer.

A: f(x)=cos(x) Differentiating with respect to x f'(x)=ddx(cos(x))=-sin(x)

Q: answer

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Q: The graphs of z = 7, y = f(z) (solid) and y = g(z) (dashed) are shown; the graph is not drawn to…

A: Answer: Solution is given below:

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say…

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Q: what is the vector representation of A ( 2, -5, 3) to the origin?

A: Concept: The representation of vector: The representation of vector is done by using the arrow. We…

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) (a) O No (b) lim…

A:

Q: Directions: Find the derivatives using the definition of limits (4-step Rule). Show each step from…

A: Given : y=2x3-3x2Find : the derivatives using the definition of limits (4-step rule) : Let given…

Q: The graphs of z = 8, y = g(z) (solid) and y=h(z) (dashed) are shown; the graph is not drawn to scale…

A:

Q: E h 501. f'(x) = cosx + sec²(x), (4) = 2 + √2 (7

A: Given: f'x=cosx +sec2x ; fπ4=2+22.We need to solve the above initial value problem.Recall the…

Q: Suppose that the functions and g are defined for all real numbers as follows 16-3-1 g(x)-3x+1 Werte…

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Q: Use the formula for the binomial series: (1+x) = 1 + mx + to obtain the Maclaurin series for (1+x)³…

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Q: The degree of the equation is Blank 1. Blank 1 Add your answer d'y + (1)²-34/+ +y=9 :

A: We have to find the degree of the given differential equation.

Q: Differentiate Z= w3/2(w+cew), where c is a constant

A: This question can be solved by applying the concept of product rule of differentiation.

Q: 1. f(x) = 4x² -5x

A: Topic = Derivative

Q: Find f(x) using the limit definition of the derivative. 3.r x+l f(x)=-

A: The given function is f(x)=3xx+1 We have to find the derivative of f(x)

Q: DETERMINE THE FOLLOWING: Differential Equation S GIVE EXAMPLES AS WELL BUT MAKE SURE IT 5. Degree

A: Concept: Differential equation: An equation comprising one or more variables (unknowns) and some of…

Q: (1 + x²)y' = x¹y¹

A:

Q: (1) Find the average rate of change for the function 3x³ - 2x £5 on the interval [=-2, 6]. f(x):

A: We have to find out average rate of change

Q: Let R be the region between the x-axis and the graph of f(x)=x^2−3x on the interval [0,3] The solid…

A: Given that the region R is bounded by the function f(x)=x2−3x and x-axis on the interval [0,3].

Q: a. y = (x²-x-¹)² 2x² - 1 x + 1 c. y = x²y + 1 b. y =

A:

Q: The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the limit does…

A: Graph of the functions fx and gx are given, we have to find the following limits. a) limx→2fx+gxb)…

Q: Question 6 Suppose the region between the graph of y = The graphs intersect at a Doint(s)) x 7 and y…

A: The region between the graph of y=x-7 and y=14(x-7) is resolved around the x-axis  We have to find…

Q: Given: A(2, -5, 2), B(3,3,-4) and C(-3,2,4) Point in the z axes that is equidistant to both A and B…

A: According to our guidelines , we can answer only first three sub parts. Kindly re-post other…

Q: Which of the following functions satisfy x²dy+ y(x + y)dx = 0 with y(1) = 1 ?

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Q: Complete the following table. Exponential Form 1.2¹ = 16 2. 11² x 3.7%= 400 5. 6. 7. 8. 16¹/4=2 9.…

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Q: Question 35 f 16x (2x²-3) 4 + c O4(2x² - 3) 4 + c O4x (2x² - 3) 4 + c O 48(2x2 - 3)2 + c Evaluate…

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Q: 3. (2y2 + 3xy - 2y + 6x)dx + x(x + 2y - 1)dy = 0

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Q: І 1 (3x - 2) √9x2 - dx 12x

A: To find out the integration.

Q: 3) v(2x − v + 1)dx + x(3x - 4y + 3)dy = 0

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Q: - For the function, find and simplify f(x + h) – f(x). (Assume h ± 0.) h f(x) = 5x² − 2x + 1 f(x…

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Q: Q3. In 1990 an anonymous private collector purchased a painting by Picasso entitled Angel Fernandez…

A: We are given ,  Initial price of painting (in year 1900)= $1800   and,  Price of painting (in year…

Q: Which of the following is the particular solution of the differential equation y(3x + 2y)d: x^2dy =…

A: